会议论文详细信息
30th International Colloquium on Group Theoretical Methods in Physics | |
Tetrahedron equation and quantum R matrices for q-oscillator representations | |
Kuniba, A.^1 ; Okado, M.^2 | |
Graduate School of Arts and Sciences, University of Tokyo, Komaba | |
153-8902, Japan^1 | |
Department of Mathematics, Osaka City University, Osaka | |
558-8585, Japan^2 | |
关键词: R matrices; Tensor products; | |
Others : https://iopscience.iop.org/article/10.1088/1742-6596/597/1/012051/pdf DOI : 10.1088/1742-6596/597/1/012051 |
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来源: IOP | |
【 摘 要 】
We review and supplement the recent result by the authors on the reduction of the three dimensional R (3d R) satisfying the tetrahedron equation to the quantum R matrices for the q-oscillator representations of Uq(D(2)), Uq(A(2)2n) and Uq(C(1)n). A new formula for the 3d R and a quantum R matrix for n = 1 are presented and a proof of the irreducibility of the tensor product of the q-oscillator representations is detailed.
【 预 览 】
Files | Size | Format | View |
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Tetrahedron equation and quantum R matrices for q-oscillator representations | 703KB | download |